Convergence of polynomials with restricted zeros

1992 ◽  
pp. 100-105 ◽  
Author(s):  
J. G. Ciunie
Keyword(s):  
Restricted Zeros

On the coefficients of a polynomial with restricted zeros

2009 ◽  
Vol 25 (2) ◽  
pp. 142-146
Author(s):  
Abdul Aziz ◽  
W. M. Shah
Keyword(s):  
Restricted Zeros

Approximation by Unimodular Functions

1971 ◽  
Vol 23 (2) ◽  
pp. 257-269 ◽  
Author(s):  
Stephen Fisher
Keyword(s):  
Blaschke Product ◽  
Uniform Approximation ◽  
Unit Disc ◽  
Open Unit ◽  
Blaschke Products ◽  
Open Unit Disc ◽  
Pointwise Approximation ◽  
Finite Blaschke Product ◽  
Image Position ◽  
Restricted Zeros

The theorems in this paper are all concerned with either pointwise or uniform approximation by functions which have unit modulus or by convex combinations of such functions. The results are related to, and are outgrowths of, the theorems in [4; 5; 10].In § 1, we show that a function bounded by 1, which is analytic in the open unit disc Δ and continuous on may be approximated uniformly on the set where it has modulus 1 (subject to certain restrictions; see Theorem 1) by a finite Blaschke product; that is, by a function of the form*where |λ| = 1 and |αi| < 1, i = 1, …, N. In § 1 we also discuss pointwise approximation by Blaschke products with restricted zeros.

Turán-type inequalities for polynomials with restricted zeros

2010 ◽  
Vol 13 (2) ◽  
pp. 217-224 ◽  
Author(s):  
K. K. Dewan ◽  
Arty Ahuja ◽  
Sunil Hans
Keyword(s):  
Turán Type Inequalities ◽  
Restricted Zeros

L p inequalities for polynomials with restricted zeros

1998 ◽  
Vol 108 (1) ◽  
pp. 63-68 ◽  
Author(s):  
Abdul Aziz ◽  
W M Shah
Keyword(s):  
Restricted Zeros
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